First slide

Average velocity

Question

A plot of Gibbs energy of a reaction mixture against the extent of the reaction is :

Moderate

A

minimum at equilibri
B

zero at equilibrium
C

maximum at equilibr
D

None of these

Solution

Suppose u be the initial velocity.
${Velocity after time t}_{1} {:v}_{11} = u + at Velocity after time t_{1} + t_{2} : v_{22} = u + a (t_{1} + t_{2}) Velocity after time t_{1} + t_{2} + t_{3} : v_{33} = u + a (t_{1} + t_{2} + t_{3}) Now, v_{1} = \frac{u + v_{11}}{2} = \frac{u + u + {at}_{1}}{2} = u + \frac{1}{2} {at}_{1} v_{2} = \frac{v_{11} + v_{22}}{2} = u + {at}_{1} + \frac{1}{2} {at}_{2} v_{3} = \frac{v_{22} + v_{33}}{2} = u + {at}_{1} + {at}_{2} + \frac{1}{2} {at}_{3} So v_{1} - v_{2} = - \frac{1}{2} a (t_{1} + t_{2}) v_{2} - v_{3} = - \frac{1}{2} a (t_{2} + t_{3}) (v_{1} - v_{2}) : (v_{2} - v_{3}) = (t_{1} + t_{2}) : (t_{2} + t_{3})$

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